Differences
This shows you the differences between two versions of the page.
— | fsc-part1-ptb:important-questions:ch07-permutation-combination-and-probablity [2021/02/07 16:47] (current) – created - external edit 127.0.0.1 | ||
---|---|---|---|
Line 1: | Line 1: | ||
+ | ====== Ch 07: Permutation, | ||
+ | < | ||
+ | * Find $n$ when ${^nC_{12}}={^nC_6}$ ---// BISE Gujranwala(2015)// | ||
+ | * Evaluate | ||
+ | * How many $6-digit$ numbers can be formed from the digits $2, | ||
+ | * How many words can be formed from the letter $``PLANE" | ||
+ | * Prove that $^nC_4=^nC_{n-r}$ ---// BISE Gujrawala(2017)// | ||
+ | * Find the numbers of diagonals of a $6-digits$ figures | ||
+ | * A coin is tossed four times, find the probability that top shows all heads. ---// BISE Gujranwala(2017)// | ||
+ | * Show that $n^3-n$ is divisible by $6$ for $n=2,3$ ---// BISE Gujrawala(2017)// | ||
+ | * Find the value of $n$ when $^nP_2=30$ ---// BISE Sargodha(2015)// | ||
+ | * Find numbers of diagonals of $6-dided$ figure. ---// BISE Sargodha(2015)// | ||
+ | * Find the value of $n$. $^nC_{12}=^nC_6$ ---// BISE Sargodha(2015)// | ||
+ | * Determine the probability of getting two heads in two successive tosses of a coin? ---// BISE Sargodha(2015)// | ||
+ | * Prove that $^{n-1}C_r+^{n-1}C_{r-1}=^nC_r$ ---// BISE Sargodha(2015)// | ||
+ | * If $\frac{a_5}{a_3}=\frac{4}{9}$, | ||
+ | * Find $n$, when $^{11}P_n=11.10.9$---// | ||
+ | * In how many way can a hockey team of $11$ be selected out of $15$ players. ---// BISE Sargodha(2015)// | ||
+ | * A die is thrown. Find the probability that the dots on the top are prime number or odd number. ---// BISE Sargodha(2015)// | ||
+ | * The sum of $9$ teams of an $A.P.$ is $171$ and its eighth team is $31$. Find the series. ---// BISE Sargodha(2015)// | ||
+ | * Prove that $^nC_r+^nC_{r-1}=^{n+1}C_r$ | ||
+ | * Find the sum of $\frac{9}{4}+\frac{3}{2}+1+\frac{2}{3}+...\infty$ ---// BISE Sargodha(2016)// | ||
+ | * Evaluate $^{20}C_{17}$ ---// BISE Sargodha(2016)// | ||
+ | * Prove that $^{n-1}C_r+^{n-1}C_{r-1}=^n C_r$ ---// BISE Sargodha(2016)// | ||
+ | * Prove that $^nC_r=^nC_{n-r}$ | ||
+ | * In how many ways can $4$ keys be arranged on a circular key ring? ---// BISE Sargodha(2017)// | ||
+ | * How many words can be formed from the letters of the word $``objective" | ||
+ | * Find the values of $n$ and $r$ when $^nC_r=35$ and $^nP_r=210$ | ||
+ | * If $S=\{1, | ||
+ | * A die is thrown. Find probability that the dots on the top are prime numbers or odd numbers. ---// BISE Lahore(2017)// | ||
+ | * Find the values of $n$ and $r$ when $^{n-1}C_{r-1}: | ||
+ | * Show that sum of $n$ $AM's$ between $a$ and $b$ is equal to $n$ times their $AM's$ ---// FBISE(2017)// | ||
+ | </ | ||
+ | {{tag> |